TITLE:
Statistical Theory of Two-Component Crystal I-Case of One Dimensional Crystal
AUTHORS:
Molhem Assef
KEYWORDS:
BBGKY, Self-Consistent Theory, Anhormonicity, Alkali Halide Crystals, Thermodynamical Properties, Linear Chain, Expansion Coefficient
JOURNAL NAME:
Open Access Library Journal,
Vol.8 No.5,
May
27,
2021
ABSTRACT: The Unsymmetrized Self-Consistent Field Method (USCFM) has applied to a linear infinite chain consisting of two different particles. Expanding the self-consistent potential in power series of the lattice displacement, and taking the anharmonicity up to the fifth order, we show that all thermodynamic properties can be found in terms of two universal functions M1(α)M1(β), which can be implicitly expressed in terms of parabolic cylinder functions. We have applied this approach to study one dimensional system of KCl crystal using Born-Mayer-Huggins pair potential, and have determined some thermoelastic properties of this system.